Exploring Bisectors, Medians, and Altitudes

What is a perpendicular bisector in a triangle?

• A line that is perpendicular to a side and passes through its midpoint

• A line that is perpendicular to a side and passes through a vertex

• A line that connects a vertex to the midpoint of the opposite side

• A line that divides an angle into two equal parts

What does an angle bisector do in a triangle?

• It is perpendicular to a side and passes through its midpoint

• It is perpendicular to a side and passes through a vertex

• It connects a vertex to the midpoint of the opposite side

• It divides an angle into two congruent angles

What is an altitude in a triangle?

• A line that is perpendicular to a side and passes through a vertex

• A line that connects a vertex to the midpoint of the opposite side

• A line that divides an angle into two equal parts

• A line that is perpendicular to a side and passes through its midpoint

How do you identify a median in a triangle?

• It connects a vertex to the midpoint of the opposite side

• It divides an angle into two congruent angles

• It is perpendicular to a side and passes through a vertex

• It is perpendicular to a side and passes through its midpoint

If a line is perpendicular at the midpoint of a side, what is it called?

• Angle bisector

• Median

• Perpendicular bisector

• Altitude

In a triangle, if a line connects a vertex to the midpoint of the opposite side, what is it?

• Altitude

• Perpendicular bisector

• Median

• Angle bisector

Given PS = 4x - 2 and SR = 2x + 4 in a median, what is the value of SR when x = 3?

• 8

• 10

• 12

• 14

If an altitude in a triangle forms a 90-degree angle with a side, what is the measure of the exterior angle if the other interior angle is 50 degrees?

• 160 degrees

• 140 degrees

• 120 degrees

• 100 degrees

If an angle bisector divides an angle into two 30-degree angles, what is the measure of the exterior angle if the other interior angle is 65 degrees?

• 95 degrees

• 115 degrees

• 125 degrees

• 135 degrees

Given the vertices of a triangle, how do you find the coordinates of the midpoint of a side?

• Multiply the x-coordinates and y-coordinates of the endpoints and divide by 2

• Subtract the x-coordinates and y-coordinates of the endpoints and divide by 2

• Divide the x-coordinates and y-coordinates of the endpoints by 2

• Add the x-coordinates and y-coordinates of the endpoints and divide by 2